Identities and central polynomials for real graded division algebras

被引：1

作者：

Diniz, Diogo ^{[1
]}

Fidelis, Claudemir ^{[1
]}

Mota, Sergio ^{[2
]}

机构：

[1] Univ Fed Campia Grande, Unidade Acad Matemat, BR-58429970 Campia Grande, PB, Brazil

[2] Univ Estadual Santa Cruz, Rodovia Ilheus Itahuna,Km 16, BR-45662900 Ilheus, BA, Brazil

来源：

INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION | 2017年 / 27卷 / 07期

关键词：

Graded algebra; simple real algebra; graded polynomial identities; GRADINGS;

D O I：

10.1142/S0218196717500436

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let A be a finite dimensional simple real algebra with a division grading by a finite abelian group G. In this paper, we provide a finite basis for the T-G-ideal of graded polynomial identities for A and a finite basis for the T-G-space of graded central polynomials for A.

引用

页码：935 / 952

页数：18

共 50 条

[41] Graded simple Lie algebras and graded simple representations [J].

Mazorchuk, Volodymyr ;

Zhao, Kaiming .

MANUSCRIPTA MATHEMATICA, 2018, 156 (1-2) :215-240

[42] On the solvability of graded Novikov algebras [J].

Umirbaev, Ualbai ;

Zhelyabin, Viktor .

INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION, 2021, 31 (07) :1405-1418

[43] Strong equivalence of graded algebras [J].

Abadie, F. ;

Dokuchaev, M. ;

Exel, R. .

JOURNAL OF ALGEBRA, 2024, 659 :818-858

[44] On the Structure of Graded Leibniz Algebras [J].

Calderon Martin, Antonio J. ;

Sanchez Delgado, Jose M. .

ALGEBRA COLLOQUIUM, 2015, 22 (01) :83-96

[45] Simple graded commutative algebras [J].

Morier-Genoud, Sophie ;

Ovsienko, Valentin .

JOURNAL OF ALGEBRA, 2010, 323 (06) :1649-1664

[46] On the structure of graded commutative algebras [J].

Calderon Martin, Antonio J. .

LINEAR ALGEBRA AND ITS APPLICATIONS, 2014, 447 :110-118

[47] Graded semisimple algebras are symmetric [J].

Dascalescu, S. ;

Nastasescu, C. ;

Nastasescu, L. .

JOURNAL OF ALGEBRA, 2017, 491 :207-218

[48] A NOTE ON GRADED GELFAND-KIRILLOV DIMENSION OF GRADED ALGEBRAS [J].

Centrone, Lucio .

JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2011, 10 (05) :865-889

[49] ON THE STRUCTURE OF SOLUBLE GRADED LIE ALGEBRAS [J].

Shumyatsky, Pavel ;

Sica, Carmela .

JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2011, 10 (04) :597-604

[50] Some characterizations of fundamental graded algebras [J].

Pascucci, Elena .

JOURNAL OF ALGEBRA, 2025, 666 :607-632

← 1 2 3 4 5 →